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2002858368 = 27375973173
BaseRepresentation
bin111011101100001…
…0011000110000000
312011120201202011120
41313120103012000
513100212431433
6530424112240
7100430005140
oct16730230600
95146652146
102002858368
1193861a155
1247a905680
1325bc383c4
14150000920
15bac797b3
hex77613180

2002858368 has 256 divisors, whose sum is σ = 6304089600. Its totient is φ = 551632896.

The previous prime is 2002858337. The next prime is 2002858369. The reversal of 2002858368 is 8638582002.

It is a super-2 number, since 2×20028583682 = 8022883284535246848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002858369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11577130 + ... + 11577302.

It is an arithmetic number, because the mean of its divisors is an integer number (24625350).

Almost surely, 22002858368 is an apocalyptic number.

2002858368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152044800).

2002858368 is an abundant number, since it is smaller than the sum of its proper divisors (4301231232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002858368 is a wasteful number, since it uses less digits than its factorization.

2002858368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2002858368 is about 44753.3056656154. The cubic root of 2002858368 is about 1260.5209838488.

The spelling of 2002858368 in words is "two billion, two million, eight hundred fifty-eight thousand, three hundred sixty-eight".